SELF-AVOIDING CRUMPLED MANIFOLDS - PERTURBATIVE ANALYSIS AND RENORMALIZABILITY

We perturbatively calculate the partition function and the two-point squared distance for a self-avoiding tethered manifold. By directly summing the leading divergences of the perturbation series, we show that they can be organized to yield scaling forms. The manifolds are indeed one-loop renormalizable to all orders. © 1990 The American Physical Society.